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Maslowich
3 years ago
13

Polynomial factoring: 4x^3 - x^2 - 4x + 1

Mathematics
1 answer:
expeople1 [14]3 years ago
5 0
The answer is (4x-1)(x-1)(x+1)
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Three of the sides will require fencing and the fourth wall already exists. If the farmer has 116 feet of fencing, what are the
dolphi86 [110]

Answer:

29 ft x 58 ft

Step-by-step explanation:

Let x be the length of each side perpendicular to the wall, and y be the length of the side parallel to the wall.

The amount of wire available is:

116 = 2x+y\\y=116-2x

The area of the region is:

A=xy=x(116-2x)\\A(x)=116x-2x^2

The value of 'x' for which the derivate of the area function is zero will yield the maximum area:

A(x)=116x-2x^2\\A'(x) = 116-4x=0\\x=29\ ft

The value of y is:

y=116-2*29\\y=58\ ft

The dimensions of the region with the largest area are 29 ft x 58 ft.

7 0
3 years ago
Any recurring sequence of points above and below the trend line lasting less than one year can be attributed to the cyclical com
kolezko [41]
True because I took this text before
5 0
3 years ago
Line go passes through points (2,5) and (6,9) which equation represents line gh
irina [24]
Make an equation in point-slope form, which is y - y = m(x - x)

First find the slope. The formula for slope is (y - y) over (x - x). In this case, the slope is (9 - 5) over (6 - 2) which simplifies to 1. The slope will be m in the point-slope equation.

Now fill in the formula:
9 - 5 = 1 (6-2)

This is the answer.
5 0
3 years ago
What set of Transformations are applied to parallelogram ABCD to create A'B'C'D'?​
bearhunter [10]

Answer:  a) reflected over x-axis and reflected over y-axis

<u>Step-by-step explanation:</u>

Reflection over the x-axis changes the sign of the y-coordinate

Z = (x, y)   →   Z'(x, -y)

Reflection over the y-axis changes the sign of the x-coordinate

Z' = (x, -y)   →   Z''(-x, -y)

A = (-4, 1)     →     A'' = (4, -1)    

B = (-3, 2)    →     A'' = (3, -2)

C = (-1, 2)     →     A'' = (1, -2)    

D = (-2, 1)     →     A'' = (2, -1)  

3 0
4 years ago
Which expresses 2700 : 4000 as a decimal?
Naddik [55]
The answer is 0.675. 2700:4000 is a ratio that can be expressed as 2700/4000 = 27/40 = 0.675 
8 0
4 years ago
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